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JEE Main Math Class 11 Sequences and Series Part 3 Questions
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© examsnet.com
Question : 2
Total: 101
Let the first three terms
2
,
p
and
q
, with
q
≠
2
, of a G.P. be respectively the
7
th
,
8
th
and
13
th
terms of an A.P. If the
5
th
term of the G.P. is the
n
th
term of the A.P., then
n
is equal to
[4 Apr 2024 Shift 1]
151
169
177
163
Validate
Solution:
👈: Video Solution
p
2
=
2
q
2
=
a
+
6
d
.
.
.
(
i
)
p
=
a
+
7
d
.
.
.
(
ii
)
q
=
a
+
12
d
.
.
.
(
iii
)
p
−
2
=
d
(
(
i
i
)
−
(
i
)
)
q
−
p
=
5
d
(
(
i
i
i
)
−
(
ii
)
)
q
−
p
=
5
(
p
−
2
)
q
=
6
p
−
10
p
2
=
2
(
6
p
−
10
)
p
2
−
12
p
+
20
=
0
p
=
10
,
2
p
=
10
;
q
=
50
d
=
8
a
=
−
46
2
,
10
,
50
,
250
,
1250
a
4
=
a
+
(
n
−
1
)
d
1250
=
−
46
+
(
n
−
1
)
8
n
=
163
© examsnet.com
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